Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation
Boundary Value Problems, 2021 In this paper, we study the local uniformly upper semicontinuity of pullback attractors for a strongly damped wave equation. In particular, under some proper assumptions, we prove that the pullback attractor { A ε ( t ) } t ∈ R $\{A_{\varepsilon }(t)\}_ ...
Yonghai Wang, Minhui Hu, Yuming Qin
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Metric characterizations of upper semicontinuity
Journal of Mathematical Analysis and Applications, 1979 AbstractWe characterize upper semicontinuity of multifunctions in terms of upper Hausdorff semicontinuity, measure of non compactness and active boundary. The results are applicable in optimization, theory of best approximation and in metrizability theory.
Szymon Dolecki, Stefan Rolewicz
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Iterative roots of upper semicontinuous multifunctions [PDF]
Advances in Difference Equations, 2017 Abstract The square iterative roots for strictly monotonic and upper semicontinuous functions with one set-valued point were fully described in (Li et al. in Publ. Math. (Debr.) 75:203-220, 2009). As a continuation, we study both strictly monotonic and nonmonotonic multifunctions.
Pingping Zhang, Li-Guo Huang
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A Ky Fan minimax inequality for quasiequilibria on finite dimensional spaces [PDF]
, 2017 Several results concerning existence of solutions of a quasiequilibrium problem defined on a finite dimensional space are established. The proof of the first result is based on a Michael selection theorem for lower semicontinuous set-valued maps which ...
Castellani, Marco +2 more
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Separating sets by upper semicontinuous and Darboux upper semicontinuous functions
Topology and its Applications, 2013 Abstract In this paper we characterize the pairs ( A 0 , A 1 ) and ( A − , A + ) of disjoint sets which can be separated by an upper semicontinuous function and by a Darboux upper semicontinuous function.
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Attractors of multivalued semiflows generated by differential inclusions and their approximations
Abstract and Applied Analysis, 2000 We prove the existence of global compact attractors for differential inclusions and obtain some results concerning the continuity and upper semicontinuity of the attractors for approximating and perturbed inclusions.
Alexei V. Kapustian, José Valero
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Asymptotic behavior for non-autonomous stochastic plate equation on unbounded domains
Open Mathematics, 2019 We study the asymptotic behavior of solutions to the non-autonomous stochastic plate equation driven by additive noise defined on unbounded domains.
Yao Xiaobin, Liu Xilan
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On some properties of the space of upper semicontinuous functions [PDF]
Acta Mathematica Hungarica, 2019 For a Tychonoff space $X$, we will denote by $USC_{p}(X)$ ($B_1(X)$) a set of all real-valued upper semicontinuous functions (a set of all Baire functions of class 1) defined on $X$ endowed with the pointwise convergence topology. In this paper we describe a class of Tychonoff spaces $X$ for which the space $USC_{p}(X)$ is sequentially separable ...
Alexander V. Osipov +2 more
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Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries [PDF]
, 2018 In this work we study the behavior of a family of solutions of a semilinear elliptic equation, with homogeneous Neumann boundary condition, posed in a two-dimensional oscillating thin region with reaction terms concentrated in a neighborhood of the ...
Arrieta, José M. +2 more
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Long-time dynamical behavior for a piezoelectric system with magnetic effect and nonlinear dampings
Electronic Research Archive, 2022 This paper is concerned with the long-time dynamical behavior of a piezoelectric system with magnetic effect, which has nonlinear damping terms and external forces with a parameter.
Gongwei Liu, Mengru Wang, Pengyan Ding
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